Two further links between MP and ML under the Poisson Model

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Journal Article
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Publisher
University of Canterbury. Mathematics and Statistics.
Journal Title
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Date
2004
Authors
Steel, M.
Penny, D.
Abstract

Maximum parsimony and maximum likelihood are two contrasting approaches for reconstructing phylogenetic trees from sequence and character data. We establish analytic links between these methods (extending connections reported earlier) under the simple Poisson model of substitutions in two settings. First, we show that if the underlying state space is suffiently large then the maximum likelihood estimate phylogenetic tree is always a maximum parsimony tree for the data. Second, we show that a suffiently dense sampling of sequences ensures that the most parsimonious likelihood tree is always a maximum parsimony tree.

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Citation
Steel, M., Penny, D. (2004) Two further links between MP and ML under the Poisson Model. Applied Mathematics Letters, 17(7), pp. 785-790.
Keywords
trees, maximum likelihood estimation, maximum parsimony method, stochastic models
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